Search a number
-
+
2022604340256 = 25327022931737
BaseRepresentation
bin11101011011101100100…
…111001111110000100000
321011100200202220022102100
4131123230213033300200
5231114243202342011
64145101022250400
7266062010140503
oct35335447176040
97140622808370
102022604340256
1170a86646a225
12287bb2126a00
13118966671636
146dc749c713a
153792c6d4d56
hex1d6ec9cfc20

2022604340256 has 36 divisors (see below), whose sum is σ = 5751781093422. Its totient is φ = 674201446656.

The previous prime is 2022604340231. The next prime is 2022604340287. The reversal of 2022604340256 is 6520434062202.

2022604340256 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 60 + 4 + 340 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1132819635600 + 889784704656 = 1064340^2 + 943284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2022604340256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3511465581 + ... + 3511466156.

Almost surely, 22022604340256 is an apocalyptic number.

It is an amenable number.

2022604340256 is an abundant number, since it is smaller than the sum of its proper divisors (3729176753166).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022604340256 is a wasteful number, since it uses less digits than its factorization.

2022604340256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022931753 (or 7022931742 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2022604340256 in words is "two trillion, twenty-two billion, six hundred four million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7022931737 14045863474 21068795211 28091726948 42137590422 56183453896 63206385633 84275180844 112366907792 126412771266 168550361688 224733815584 252825542532 337100723376 505651085064 674201446752 1011302170128 2022604340256